摘要
本文利用首次积分的概念及不动点理论,讨论了一类非自治系统,并在其对应的齐次方程有非平凡解的条件下,得到了一类非自治系统周期解存在的充分条件.
In this paper, using the concepts of first integral and the theory of fix point, we discuss a kind of nonautomous differential systems, and at the case of its corresponding uniform equation has non-trivial periodic solutions, obtain the sufficient condition under which a kind of nonautonomous differential systems have at least one periodic solution.
关键词
周期解
首次积分
不动点
periodic solution
first integral
fix point
